Multiplication Magic of 9: 1 to 5 Digits
Multiplication with numbers like 9, 99, 999, or 9999, and so on, is another unique example of the operation. It seems that the calculation will be difficult if multiplier is a large number. By using the method given below, we can multiply any number with 99,999,9999, etc. very quickly.
Multiplication with 9 is always fun. We can use addition and subtraction to solve the multiplication of any number with “n” digits of 9.
One of the two numbers used in a multiplication is the multiplicand, and the other is the multiplier.
For example, 22 x 99. In this 22 is multiplicand and 99 is multiplier.
Steps for multiplication of 9,99,999…..
1) Subtract 1 from the multiplicand.
2) Subtract the answer of step 1 from 9’s series number
It is that simple.
Let’s examine this through a illustration now: –
1) 7 X 9 = 63
7 Here 7 is the multiplicand.
X 9 7 – 1 = 6
_____________
63 next Subtract the answer from multiplier.
9 – 6 = 3
The answer is 63
2) 5 x 9 = 45
5 Here 5 is the multiplicand.
X 9 5 – 1=4
_____________
45 next Subtract the answer from multiplier.
9 – 4 = 3
The answer is 45.
3) 13 x 99 = 1287
13 Here 13 is the multiplicand.
X 99 13 – 1 = 12
_____________
1287 next Subtract the answer from multiplier.
99 – 12 = 87
The answer is 1287.
4) 84 x 99 = 8316
84 Here 84 is the multiplicand.
X 99 84 – 1 = 83
_____________
8316 next Subtract the answer from multiplier.
99 – 83 = 16
The answer is 8316.
5) 343 x 999 = 342657
343 Here 343 is the multiplicand.
X 999 343 – 1 = 342
_____________
342657 next Subtract the answer from multiplier.
999 – 342=657
The answer is 342657.
6) 482 x 999 = 481518
482 Here 482 is the multiplicand.
X 999 482 – 1 = 481
_____________
481518 next Subtract the answer from multiplier.
999 – 481=518
The answer is 481518.
7) 7852 x 9999 = 78512148
7852 Here 7852 is the multiplicand.
X 9999 7852 – 1 = 7851
_____________
78512148 next Subtract the answer from multiplier.
9999 – 7851=2148
The answer is 78512148.
8) 3311 x 9999 = 33106689
3311 Here 3311 is the multiplicand.
X 9999 3311 – 1=3310
_____________
33106689 next Subtract the answer from multiplier.
9999 – 3311=6689
The answer is 33106689.
